While \(T\bar{T}\) -like deformations of quantum field theories have so far mainly been studied for systems with closed boundary conditions, in this paper we initiate the study of such deformations for QFTs with boundaries and defects. For this purpose we have applied the generic formalism developed in [1]}, [2]}, [3]}, which allowed us to derive the deformed scattering matrices. With these quantities at hand, we derived the flow equation for the deformed finite volume spectrum for all bilocal- and odd charge- deformations. For \(T\bar{T}\)  deformation, we rederived the flow equation for the cylinder partition function and the deformed exact \(g\) -function [4]}. There are plenty of directions that deserve further investigation.
